10680062976 has 176 divisors, whose sum is σ = 34505542080. Its totient is φ = 3236290560.

The previous prime is 10680062971. The next prime is 10680062977. The reversal of 10680062976 is 67926008601.

10680062976 is a `hidden beast` number, since 10 + 6 + 8 + 0 + 0 + 629 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×10680062976² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10680062971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286570 + ... + 321686.

Almost surely, 2^10680062976 is an apocalyptic number.

10680062976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10680062976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17252771040).

10680062976 is an abundant number, since it is smaller than the sum of its proper divisors (23825479104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10680062976 is a wasteful number, since it uses less digits than its factorization.

10680062976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35157 (or 35133 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10680062976 in words is "ten billion, six hundred eighty million, sixty-two thousand, nine hundred seventy-six".